{"id":"https://openalex.org/W2055395262","doi":"https://doi.org/10.2168/lmcs-2(5:2)2006","title":"Linear Abadi and Plotkin Logic","display_name":"Linear Abadi and Plotkin Logic","publication_year":2006,"publication_date":"2006-11-03","ids":{"openalex":"https://openalex.org/W2055395262","doi":"https://doi.org/10.2168/lmcs-2(5:2)2006","mag":"2055395262"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-2(5:2)2006","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-2(5:2)2006","pdf_url":"https://lmcs.episciences.org/2233/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/2233/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Lars Birkedal","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lars Birkedal","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Rasmus E. M\u00f8gelberg","orcid":null},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Rasmus E. M\u00f8gelberg","raw_affiliation_strings":["LFCS, School of Informatics, University of Edinburgh"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LFCS, School of Informatics, University of Edinburgh","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":null,"display_name":"Rasmus Lerchedahl Petersen","orcid":null},"institutions":[{"id":"https://openalex.org/I83467386","display_name":"IT University of Copenhagen","ror":"https://ror.org/02309jg23","country_code":"DK","type":"education","lineage":["https://openalex.org/I83467386"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Rasmus Lerchedahl Petersen","raw_affiliation_strings":["IT University of Copenhagen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IT University of Copenhagen","institution_ids":["https://openalex.org/I83467386"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.129,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.95040711,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"Volume 2, Issue 5","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.7505999803543091,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.7505999803543091,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.14270000159740448,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10778","display_name":"Philosophy and History of Science","score":0.01940000057220459,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/coinduction","display_name":"Coinduction","score":0.9171000123023987},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6233999729156494},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.539900004863739},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.46399998664855957},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4332999885082245},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4115999937057495},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.391400009393692},{"id":"https://openalex.org/keywords/domain-theory","display_name":"Domain theory","score":0.37380000948905945},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.3718000054359436}],"concepts":[{"id":"https://openalex.org/C40220748","wikidata":"https://www.wikidata.org/wiki/Q4227156","display_name":"Coinduction","level":3,"score":0.9171000123023987},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6233999729156494},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.539900004863739},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.46399998664855957},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4569999873638153},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.454800009727478},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4392000138759613},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4332999885082245},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4115999937057495},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.391400009393692},{"id":"https://openalex.org/C29585364","wikidata":"https://www.wikidata.org/wiki/Q1079166","display_name":"Domain theory","level":2,"score":0.37380000948905945},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.3718000054359436},{"id":"https://openalex.org/C20528804","wikidata":"https://www.wikidata.org/wiki/Q997433","display_name":"Dependent type","level":3,"score":0.367900013923645},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.352400004863739},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.34459999203681946},{"id":"https://openalex.org/C123260079","wikidata":"https://www.wikidata.org/wiki/Q1933521","display_name":"Kleene's recursion theorem","level":2,"score":0.34380000829696655},{"id":"https://openalex.org/C2982939207","wikidata":"https://www.wikidata.org/wiki/Q1175101","display_name":"Recursive functions","level":2,"score":0.34139999747276306},{"id":"https://openalex.org/C9986523","wikidata":"https://www.wikidata.org/wiki/Q1570472","display_name":"Primitive recursive function","level":2,"score":0.3357999920845032},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.33410000801086426},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3303999900817871},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.3240000009536743},{"id":"https://openalex.org/C188971069","wikidata":"https://www.wikidata.org/wiki/Q1636734","display_name":"Universal algebra","level":3,"score":0.32109999656677246},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.3190000057220459},{"id":"https://openalex.org/C85955891","wikidata":"https://www.wikidata.org/wiki/Q307772","display_name":"\u03bc operator","level":3,"score":0.3086000084877014},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30649998784065247},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.2944999933242798},{"id":"https://openalex.org/C4777664","wikidata":"https://www.wikidata.org/wiki/Q1536492","display_name":"Linear temporal logic","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C2780432614","wikidata":"https://www.wikidata.org/wiki/Q864213","display_name":"Conservative extension","level":2,"score":0.28049999475479126},{"id":"https://openalex.org/C144791301","wikidata":"https://www.wikidata.org/wiki/Q1548746","display_name":"Second-order logic","level":4,"score":0.27090001106262207},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.26989999413490295},{"id":"https://openalex.org/C19689857","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"Predicate logic","level":3,"score":0.2637999951839447},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2524999976158142}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2168/lmcs-2(5:2)2006","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-2(5:2)2006","pdf_url":"https://lmcs.episciences.org/2233/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:cs/0611004","is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0611004","pdf_url":"https://arxiv.org/pdf/cs/0611004","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:82234fd3648448c19fa1d1a2a9456296","is_oa":true,"landing_page_url":"https://doaj.org/article/82234fd3648448c19fa1d1a2a9456296","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 2, Issue 5 (2006)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-2(5:2)2006","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-2(5:2)2006","pdf_url":"https://lmcs.episciences.org/2233/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2055395262.pdf","grobid_xml":"https://content.openalex.org/works/W2055395262.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W79336753","https://openalex.org/W326743114","https://openalex.org/W1565457335","https://openalex.org/W1566009901","https://openalex.org/W1589537316","https://openalex.org/W1592122327","https://openalex.org/W1998095216","https://openalex.org/W2045300896","https://openalex.org/W2045564677","https://openalex.org/W2095835314","https://openalex.org/W2121306658","https://openalex.org/W2126166462","https://openalex.org/W2128271514","https://openalex.org/W2129157779","https://openalex.org/W2155221538"],"related_works":[],"abstract_inverted_index":{"We":[0,52],"present":[1],"a":[2,5,15,36,59,83,101,123,129],"formalization":[3],"of":[4,7,39,76,104,116,133,135],"version":[6],"Abadi":[8],"and":[9,24,48,64,140],"Plotkin's":[10,27],"logic":[11,137,148],"for":[12,14,69,94,100],"parametricity":[13],"polymorphic":[16],"dual":[17],"intuitionistic/linear":[18],"type":[19],"theory":[20],"with":[21,87],"fixed":[22],"points,":[23],"show,":[25],"following":[26],"suggestions,":[28],"that":[29,54,91],"it":[30],"can":[31,149],"be":[32,150],"used":[33],"to":[34,152],"define":[35],"wide":[37],"collection":[38,103],"types,":[40,43,45,78],"including":[41],"existential":[42],"inductive":[44],"coinductive":[46],"types":[47,57,118],"general":[49,95],"recursive":[50,56,77,117],"types.":[51,72],"show":[53,141],"the":[55,70,74,79,88,136,143,147,153],"satisfy":[58],"universal":[60],"property":[61,90,109],"called":[62],"dinaturality,":[63],"we":[65,126],"develop":[66,128],"reasoning":[67,80],"principles":[68],"constructed":[71],"In":[73,122],"case":[75],"principle":[81],"is":[82],"mixed":[84],"induction/coinduction":[85],"principle,":[86],"curious":[89],"coinduction":[92],"holds":[93],"relations,":[96],"but":[97],"induction":[98],"only":[99],"limited":[102],"``admissible''":[105],"relations.":[106],"A":[107],"similar":[108],"was":[110],"observed":[111],"in":[112,119,146],"Pitts'":[113],"1995":[114],"analysis":[115],"domain":[120],"theory.":[121],"future":[124],"paper":[125],"will":[127],"category":[130],"theoretic":[131],"notion":[132],"models":[134],"presented":[138],"here,":[139],"how":[142],"results":[144],"developed":[145],"transferred":[151],"models.":[154]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}